Calculus Courses and Certifications

Michel van Biezen

Calculus 2 - Arc Length of Curves

Derive the integral formula for arc length, then work through curves ranging from exponentials and logarithms to circles and a catenary.

• YouTube
• 1 hour 56 minutes
• Self-Paced
• Free Video

Math with Professor V

AP Calculus Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions

Step-by-step examples show how the chain rule extends to implicit, inverse, and logarithmic differentiation for AP Calculus problems.

• YouTube
• 5 hours 7 minutes
• Self-Paced
• Free Video

Math with Professor V

AP Calculus Unit 2 - Differentiation: Definition and Basic Derivative Rules

Builds differentiation from the limit definition to derivative rules, with examples connecting derivatives to tangent slopes and velocity.

• YouTube
• 3 hours 52 minutes
• Self-Paced
• Free Video

Math with Professor V

Algebra Review for the Calculus Student

Review algebra techniques—factoring, function graphing, and simplifying expressions—through examples that connect them to limits and derivatives.

• YouTube
• 8 hours 42 minutes
• Self-Paced
• Free Video

Le Derivate: come si calcolano

Scopri come calcolare le derivate con tecniche precise, esempi grafici ed esercizi pratici. Padroneggia questo strumento fondamentale per l'analisi matematica, l'ottimizzazione e il machine learning.

• Coursera
• 5 weeks, 1 hour a week
• Self-Paced
• Paid Course

Weights & Biases

Math4ML Exercises - Calculus

Work through calculus exercises for machine learning using little-o notation, symbolic Python, linear approximations, gradients, and gradient descent.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Basic Integration Formulas - Calculus

A compact reference to basic formulas for finding antiderivatives in introductory calculus.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Logarithmic Differentiation Formula - Calculus

A formula-focused tutorial demonstrates how to perform logarithmic differentiation.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Michael Penn

Integrating the Impossible - Advanced Calculus Techniques

A short mathematical exploration of an integral framed as impossible to evaluate.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Tom Rocks Maths

Oxford University Mathematician Takes American AP Calculus BC Exam

An Oxford mathematician works through Section II, Part B of the 2022 AP Calculus BC exam without preparation.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Michael Penn

Generalizing a Calculus 2 Integral

A look at how to generalize an integral from Calculus II.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Math with Professor V

Maximum and Minimum Values in Calculus - Extreme Value Theorem and Critical Numbers

An in-depth lesson on identifying absolute and local extrema graphically and with calculus, including critical numbers, Fermat’s Theorem, and the Extreme Value Theorem.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Math with Professor V

Calculus 2: Sequences and Series Exam Solutions - Part 1

Works through the first part of a former Calculus II exam focused on sequences and series.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Math with Professor V

Calculus 2: Sequences and Series - Exam Solutions

Works through a Calculus 2 exam focused on sequences and series, showing how to solve the problems step by step.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Math with Professor V

Derivatives of Inverse Trigonometric Functions - Calculus 1

Ten worked examples show how to differentiate inverse trigonometric functions, with practice using the chain and product rules.

• YouTube
• 23 minutes
• Self-Paced
• Free Video